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444012413120 = 2651917264601
BaseRepresentation
bin1100111011000010011…
…00111100000011000000
31120110001222200121112122
412131201030330003000
524233314134204440
6535550530543412
744036020145153
oct6354114740300
91513058617478
10444012413120
11161339482841
1272076a37b68
1332b40a6a343
14176c15d5c9a
15b83a7a87b5
hex676133c0c0

444012413120 has 56 divisors (see below), whose sum is σ = 1062840331008. Its totient is φ = 176675072000.

The previous prime is 444012413113. The next prime is 444012413129. The reversal of 444012413120 is 21314210444.

It is a self number, because there is not a number n which added to its sum of digits gives 444012413120.

It is not an unprimeable number, because it can be changed into a prime (444012413129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3571181 + ... + 3693420.

Almost surely, 2444012413120 is an apocalyptic number.

444012413120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444012413120 is an abundant number, since it is smaller than the sum of its proper divisors (618827917888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444012413120 is a wasteful number, since it uses less digits than its factorization.

444012413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264809 (or 7264799 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 444012413120 its reverse (21314210444), we get a palindrome (465326623564).

The spelling of 444012413120 in words is "four hundred forty-four billion, twelve million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 191 320 382 764 955 1528 1910 3056 3820 6112 7640 12224 15280 30560 61120 7264601 14529202 29058404 36323005 58116808 72646010 116233616 145292020 232467232 290584040 464934464 581168080 1162336160 1387538791 2324672320 2775077582 5550155164 6937693955 11100310328 13875387910 22200620656 27750775820 44401241312 55501551640 88802482624 111003103280 222006206560 444012413120